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Write a quadratic function in standard form that has 2 solutions -4 & 5

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The sum of the roots is -4+5=1 and the product is -4*5=-20. The x coefficient of a quadratic with leading coefficient 1 is the negative sum of the roots or -1 and the constant term of this quadratic is the product of the roots or 20. The quadratic is then x^2-x+20.
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